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The final velocity of an object moving in one dimension is given by the formula [tex]v = u + a t[/tex], where [tex]u[/tex] is the initial velocity, [tex]a[/tex] is the acceleration, and [tex]t[/tex] is the time.

Solve this equation for [tex]a[/tex].

A. [tex]a = \frac{v + u}{t}[/tex]

B. [tex]a = t(v + u)[/tex]

C. [tex]a = t(v - u)[/tex]

D. [tex]a = \frac{v - u}{t}[/tex]



Answer :

GinnyAnswer
To solve the equation [tex]\( v = u + at \)[/tex] for the acceleration [tex]\( a \)[/tex], follow these steps:

1. Start with the given equation:
[tex]\[ v = u + at \][/tex]

2. Isolate the term involving [tex]\( a \)[/tex] on one side of the equation:
Subtract [tex]\( u \)[/tex] from both sides to get:
[tex]\[ v - u = at \][/tex]

3. Solve for [tex]\( a \)[/tex] by dividing both sides by [tex]\( t \)[/tex]:
[tex]\[ \frac{v - u}{t} = a \][/tex]

4. Therefore, the expression for acceleration [tex]\( a \)[/tex] is:
[tex]\[ a = \frac{v - u}{t} \][/tex]

Thus, the correct option is:
[tex]\[ a = \frac{v - u}{t} \][/tex]

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